Possible outcomes:
V V ----> (5/26)(5/26) = 25/676
V C ---> (5/26)(21/26) = 105/676
C V --->(21/26)(5/26) = 105/676
C C ---> (21/26)(21/26) = 441/676 , notice the sum is 1
E(x) = 6(25/676) + 3(105/676) + 3(105/676) + 0(441/676) = ....
You have two decks of 26 cards. Each card in each of the two decks has a different letter of the alphabet on it. You pick at random one card from each of the two decks. A vowel is worth 3 points and a consonant is worth 0 points. Let X = the sum of the values of the two cards picked. Find E(X)
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